Communications in Mathematical Physics

, Volume 90, Issue 2, pp 161–173 | Cite as

Supersymmetry and the Atiyah-Singer index theorem

  • Luis Alvarez-Gaumé


Using a recently introduced index for supersymmetric theories, we present a simple derivation of the Atiyah-Singer index theorem for classical complexes and itsG-index generalization using elementary properties of quantum mechanical supersymmetric systems.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Luis Alvarez-Gaumé
    • 1
  1. 1.Joseph Henry LaboratoriesPrinceton UniversityPrincetonUSA

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